Differential Equations

China alert over bird flu death

Chinese authorities shut down and clean poultry markets in Hebei province, after the first human death in nearly a year.

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Feilden's blog

Ground-breaking new technique in stem cell science

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Tech fair offers greener vision

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Our writers talk back

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Venomous mammal caught on camera

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Zimbabwe troops 'eat elephants'

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Heat may spark world food crisis

Half the world's population could face food crisis by 2100 as soaring temperatures cripple staple crops, scientists warn.

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Canadians claim South Pole record

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Black holes 'preceded galaxies'

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US vows 'huge' marine protection

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Explorer Jim McNeill tracks down Arctic wolves

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Mummy of female pharaoh uncovered

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A deep-sea fish caught in the Pacific has mirrors for eyes

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Panda bites his third tourist in two years at Beijing zoo

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Beagle hunter

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Science > Differential Equations

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Science > Differential Equations

Courses (1)

Education (6)

Events (44)

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People (8)

Software (7)

Difference Equations (6)

Dynamical Systems (68)

Differential Equations:

Analytic Differential Equations

Lectures on Analytic Differential Equations by Sergei Yakovenko at the Weizmann Institute. [PDF]

http://www.wisdom.weizmann.ac.il/~yakov/thebook.pdf

Analytic Solution for the Burgers Equation

Provides the general analytic solution for the Burgers equation in the form of a 4-D commutative hypercomplex function. The solution exhibits the main dynamic features in a Burgers medium: propagation of disturbances, shock waves, propagating state change fronts, and solitons. Includes page about hypercomplex math.

http://home.comcast.net/~cmdaven/burgers.htm

Graand

Free Classified Ads Portal

www.graand.com

Analytical solution for the Korteweg-de Vries equation

Provides the general analytic solution for the KdV equation. In one function, the result models traveling wavetrains, solitary spikes (solitons), and sech-form long waves.

http://home.comcast.net/~cmdaven/korteweg.htm

The Animated Telegraph equation

This demonstration illustrates the behaviour of solutions of the telegraph equation

http://www.math.ubc.ca/~feldman/demos/demo8.html

Differential Equations

PDEs section of the mathematics e-print arXiv.

http://front.math.ucdavis.edu/math.AP

Bifurcations, Equilibria, and Phase Lines: Modern Topics in Differential Equation Courses

Online course material

http://math.bu.edu/DYSYS/ode-bif/ode-bif.html

C*ODE*E Archive

Consortium of ODE Experiments at Harvey Mudd College. Newsletter, graphics, links.

http://www.math.hmc.edu/codee/

Computational PDEs Unit

School of Computing, University of Leeds. Research details, publications, software and resources.

http://www.scs.leeds.ac.uk/cpde/

Difference Method for Numerical Approximation to Applied Differential Equations.

This page explains how to use the difference formula of differentials to approximate the differential equations for applied systems. This method is used when analytical techniques are unavailable or cause computers to spit out garbage. This difference method is very similar to the Runge-Kata and Newton's method.

http://www.geocities.com/b_ward.rm/na.html

Differential Equations

Postscript notes on various topics in differential equations by Bruce Ikenaga.

http://marauder.millersville.edu/~bikenaga/diffeq/deqnote.html

Differential Equations in a Nutshell

An overview of the terms used, as well as solving general and initial value problems. Includes corresponding graphs. [PDF]

http://spot.pcc.edu/~ssimonds/m253/week_6/MTH_253_diffy_Q_200602.pdf

Differential Equations in Banach Algebras

Fuchsian Singularities of Linear Ordinary Differential Equations in Banach Algebras. By Gerald Albrecht in Wuppertal. [PDF]

http://www.gwfa.de/math/Fuchs_1996.pdf

Differential Equations in Industry and Commerce

European TMR network coordinated at the Oxford Centre for Industrial and Applied Mathematics.

http://www2.maths.ox.ac.uk/ociam/TMR/

Finding Green's Functions for ODEs

A brief but technical overview of methods of finding Green's functions. By Evans M. Harrell II and James V. Herod.

http://www.mathphysics.com/pde/green/g15.html

GetDP (a General environment for the treatment of Discrete Problems)

A scientific software environment for the numerical solution of integro-differential equations, open to the coupling of physical problems (electromagnetic, acoustic, thermal, mechanical, ...) as well as of numerical methods (finite element methods, boundary element and integral methods, ...).

http://www.geuz.org/getdp/

Green's Function Library

Collection of Green's function solutions to canonical differential equations.

http://www.engr.unl.edu/~glibrary/

Green's Function Theory

A set of lecture notes on Green's functions and their applications.

http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node59.html

Introduction to Green's Functions

Green's functions play an important role in the solution of linear ordinary and partial differential equations, and are a key component to the development of boundary integral equation methods.

http://www.boulder.nist.gov/div853/greenfn/tutorial.html

Linear Mathematics in Infinite Dimensions

A set of lecture notes on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics.

http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node2.html

Math Unit III: More on the derivative and differential equations

Exact definition of derivation and calculating the relationship of derivatives of related functions.

http://dept.physics.upenn.edu/courses/gladney/mathphys/subsection3_1_1.html

MathPages: Calculus and DiffEq Notes

Kevin Brown's compilation of postings including many topics in differential equations.

http://www.mathpages.com/home/icalculu.htm

MGNet

Information related to multigrid, multilevel, multiscale, aggregation, defect correction, and domain decomposition methods.

http://www.mgnet.org/

Navier-Stokes Type Equations

Explicit solutions provided for this particular type of equation and their relations to the heat equation, Burger's equation, and Euler's equation.

http://www.coolissues.com/mathematics/Navier-Stokes/nstokes.htm

Nonlinear Differential Equations at Glasgow

The site describes research activities of the differential equations group in the mathematics department at the university of Glasgow, UK, and provides some resources of a general nature.

http://www.maths.gla.ac.uk/~ca/

Ordinary Differential Equations

Course notes by Klaus Schmitt at the University of Utah.

http://www.math.utah.edu/~schmitt/math6410.html

Partial Differential Equations

"PDE Primer" by Ralph Showalter at Oregon State.

http://www.math.oregonstate.edu/~show/docs/pde.html

Partial Differential Equations

Maple lessons for an undergraduate course in Differential Equations by Jim Herod.

http://www.mapleapps.com/powertools/pdes/pdes.shtml

Partial Differential Equations

An overview of partial differential equations and their physical applications.